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math.NT2025
On the supremum of random cusp forms
Bingrong Huang, Stephen Lester, Igor Wigman +1
A random ensemble of cusp forms for the full modular group is introduced. For a weight- cusp form, restricted to a compact subdomain of the modular surface, the true order of ma…
math.NT2025
The hyperbolic circle problem over Heegner points
Dimitrios Chatzakos, Giacomo Cherubini, Stephen Lester +1
For the full modular group, we obtain a logarithmic improvement on Selberg's long-standing bound for the error term of the counting function in the hyperbolic circle problem over H…